**Geometry Help .**

**1.****The vertices of rectangle ABCD are A = (0,0), B = (2a, 0), C = (2a, 2b), and D = (0, 2b). Where M, N, P, and Q are the midpoints of the consecutive sides of ABCD, what type of quadrilateral is MNPQ? Be as specific as possible.**

**2.****Let p represent any positive number. Being as specific as possible, describe the type of triangle with vertices at (0,0), (p, 0), and (0, p).**

**3.****Solve the following system of equations by graphing. -4x + 3y = 15 2x + y = -5**

**4.****The graphs of the lines 3x + 4y = 2, 5x –y =11, and x + ky = -2 all contain the same point. Find the point and also the value of k.**

**5.****Find the exact volume and exact lateral area of the solid formed when the region bounded by Quadrant I bye the lines x= 9, and y = 5 is revolved about the x-axis.**

**6.****A circle has its center at the point (-2,3). If one endpoint of the diameter is at (3, -5), find the other endpoint.**

**7.****There are two points on the x-axis at a distance of 6 units from the point (3,1). Determine the coordinates of each point**

**Category:**Mathematics, General Mathematics

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